{
  "scope": "Fictional models, not a strategy or real-player performance estimate",
  "cards": {
    "hero": [
      "As",
      "Ks"
    ],
    "turn_board": [
      "Js",
      "7d",
      "2s",
      "4c"
    ],
    "legal_combinations": [
      {
        "holding": "JJ",
        "combos": 3,
        "weight": "1",
        "effective_mass": "3",
        "river_equity": "7/44"
      },
      {
        "holding": "77",
        "combos": 3,
        "weight": "1",
        "effective_mass": "3",
        "river_equity": "7/44"
      },
      {
        "holding": "22",
        "combos": 3,
        "weight": "1",
        "effective_mass": "3",
        "river_equity": "7/44"
      },
      {
        "holding": "AJs",
        "combos": 3,
        "weight": "3/4",
        "effective_mass": "9/4",
        "river_equity": "3/11"
      },
      {
        "holding": "KJs",
        "combos": 3,
        "weight": "3/4",
        "effective_mass": "9/4",
        "river_equity": "3/11"
      },
      {
        "holding": "QJs",
        "combos": 3,
        "weight": "3/4",
        "effective_mass": "9/4",
        "river_equity": "15/44"
      },
      {
        "holding": "T9s",
        "combos": 4,
        "weight": "1/2",
        "effective_mass": "2",
        "river_equity": "73/88"
      },
      {
        "holding": "98s",
        "combos": 4,
        "weight": "1/2",
        "effective_mass": "2",
        "river_equity": "73/88"
      },
      {
        "holding": "QTs",
        "combos": 4,
        "weight": "1/2",
        "effective_mass": "2",
        "river_equity": "79/88"
      },
      {
        "holding": "AQs",
        "combos": 3,
        "weight": "1/4",
        "effective_mass": "3/4",
        "river_equity": "21/22"
      }
    ],
    "mass": "45/2",
    "equity": "181/440"
  },
  "river": {
    "board": [
      "Js",
      "7d",
      "2s",
      "4c",
      "Kd"
    ],
    "strong_mass": "21/2",
    "worse_pair_mass": "9/2",
    "weaker_unpaired_mass": "27/4",
    "threshold": "26/87",
    "boundary": "303/610",
    "examples": [
      {
        "x": "7/20",
        "equity": "9/37",
        "call_ev_bb": "-895/74"
      },
      {
        "x": "1/2",
        "equity": "3/10",
        "call_ev_bb": "1/4"
      }
    ]
  },
  "draw": {
    "combinations": 1326,
    "classes": 169,
    "flops": 19600,
    "at_least_one_pair_rank_on_flop": "144/1225",
    "exact_flush_by_river": "378/1081",
    "outs": [
      {
        "outs": 2,
        "turn": "2/47",
        "river": "91/1081"
      },
      {
        "outs": 4,
        "turn": "4/47",
        "river": "178/1081"
      },
      {
        "outs": 6,
        "turn": "6/47",
        "river": "261/1081"
      },
      {
        "outs": 8,
        "turn": "8/47",
        "river": "340/1081"
      },
      {
        "outs": 9,
        "turn": "9/47",
        "river": "378/1081"
      },
      {
        "outs": 10,
        "turn": "10/47",
        "river": "415/1081"
      },
      {
        "outs": 12,
        "turn": "12/47",
        "river": "486/1081"
      },
      {
        "outs": 15,
        "turn": "15/47",
        "river": "585/1081"
      }
    ]
  },
  "bayes": {
    "prior": [
      "3/10",
      "9/20",
      "1/4"
    ],
    "likelihood": [
      "4/5",
      "3/5",
      "1/5"
    ],
    "posterior": [
      "3/7",
      "27/56",
      "5/56"
    ]
  },
  "frequency": {
    "wilson_n": 12,
    "successes": 3,
    "beta_prior": [
      6,
      24
    ],
    "posterior": [
      9,
      33
    ],
    "mean": "3/14",
    "wilson_95": [
      0.08894166839405476,
      0.5323053349335656
    ],
    "equal_tail_95": [
      0.10560803322606105,
      0.3486654674513796
    ]
  },
  "win_rate": {
    "sigma_per_block_bb": 90,
    "z95_used": 1.96,
    "precision_hands_for_mean_3_using_1_96": 345744.00000000006,
    "approx_80_power_hands": 706399.1760914177,
    "half_widths": [
      {
        "hands": 1000,
        "se_bb_per_100": 28.46049894151541,
        "half_width": 55.78257792537021
      },
      {
        "hands": 10000,
        "se_bb_per_100": 9.0,
        "half_width": 17.64
      },
      {
        "hands": 100000,
        "se_bb_per_100": 2.8460498941515415,
        "half_width": 5.578257792537022
      },
      {
        "hands": 1000000,
        "se_bb_per_100": 0.9,
        "half_width": 1.764
      }
    ]
  },
  "icm": {
    "before": [
      "1075/28",
      "131/4",
      "202/7"
    ],
    "hero_win_equity": "41",
    "break_even_q": "17/28"
  },
  "ledger": {
    "pots": [
      22.5,
      37.5,
      87.5,
      217.5
    ],
    "stacks_before_turn": [
      131.5,
      131.5
    ],
    "stacks_after_turn_call": [
      106.5,
      106.5
    ],
    "stacks_after_river_call": [
      41.5,
      41.5
    ]
  },
  "brownian": {
    "time_unit": "one 100-hand block",
    "sigma_bb": 90,
    "probabilities": [
      {
        "mu_bb": 3,
        "bankroll_bb": 2000,
        "ruin_probability": 0.22730069704883135
      },
      {
        "mu_bb": 3,
        "bankroll_bb": 3000,
        "ruin_probability": 0.10836802322189586
      },
      {
        "mu_bb": 3,
        "bankroll_bb": 5000,
        "ruin_probability": 0.024632127216140873
      },
      {
        "mu_bb": 5,
        "bankroll_bb": 2000,
        "ruin_probability": 0.08465798862252998
      },
      {
        "mu_bb": 5,
        "bankroll_bb": 3000,
        "ruin_probability": 0.024632127216140873
      },
      {
        "mu_bb": 5,
        "bankroll_bb": 5000,
        "ruin_probability": 0.002085306345612765
      }
    ]
  },
  "monte_carlo": {
    "numpy": "2.3.5",
    "python": "3.12.14",
    "seed": 20261014,
    "n": 1000000,
    "estimate": 0.349986,
    "se": 0.0004769651976863721,
    "normal_95": [
      0.34905114821253475,
      0.3509208517874653
    ],
    "event": "At least one target suit card in two draws, not winning equity"
  }
}